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Quantum Brownian motion in ratchet potentials: duality relation and its consequences

J. Peguiron·M. Grifoni
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Abstract

Quantum Brownian motion in ratchet potentials is investigated by means of an approach based on a duality relation. This relation links the long-time dynamics in a tilted ratchet potential in the presence of dissipation with the one in a driven dissipative tight-binding model. The application to quantum ratchet yields a simple expression for the ratchet current in terms of the transition rates in the tight-binding system.

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J. Peguiron, M. Grifoni. 2005-11-18. Quantum Brownian motion in ratchet potentials: duality relation and its consequences. https://doi.org/10.1016/j.chemphys.2005.07.004

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